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We propose a simple phenomenological model to analyze vibrational characteristics of quasicrystals (QCs). The interpretation of the obtained recently data is based on the existence of almost dispersionless optical modes most probably…

Materials Science · Physics 2007-05-23 M. de Boissieu , R. Currat , S. Francoual , E. Kats

We investigate vibrational excitation broadening in one dimensional Fibonacci model of quasicrystals (QCs). The chain is constructed from particles with two masses following the Fibonacci inflation rule. The eigenmode spectrum depends…

Statistical Mechanics · Physics 2009-11-11 E. I. Kats , A. R. Muratov

Quasiclassical approach and geometric optics allow to describe rather accurately whispering gallery modes in convex axisymmetric bodies. Using this approach we obtain practical formulas for the calculation of eigenfrequencies and radiative…

Optics · Physics 2009-11-11 Michael L. Gorodetsky , Aleksey E. Fomin

Recently, Engel et al. discussed phonon broadening as observed in 3D quasicrystals on the basis of calculations on the Fibonacci chain. We show that the paper contains several statements and assumptions that are contradicted by factual…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Coddens

Experimental results on the density of states and on the acoustic modes of glasses in the THz region are compared to the predictions of two categories of models. A recent one, solely based on an elastic instability, does not account for…

Disordered Systems and Neural Networks · Physics 2011-09-16 B. Rufflé , D. A. Parshin , E. Courtens , R. Vacher

We study many-qubit generalizations of quantum noise channels that can be written as an incoherent sum of translations in phase space. Physical description in terms of the spectral properties of the superoperator and the action in phase…

Quantum Physics · Physics 2009-11-10 Mario Leandro Aolita , Ignacio Garcia-Mata , Marcos Saraceno

In a recent Letter [Phys. Rev. Lett. 111, 185304 (2013)], we proposed a scheme for realizing quantum quasicrystals using spin-orbit coupled dipolar bosons. We remarked that these quantum quasicrystals have additional ``phason''-like modes…

Quantum Gases · Physics 2013-12-24 Sarang Gopalakrishnan , Ivar Martin , Eugene A. Demler

It is argued that the prevailing definition of quasicrystals, requiring them to contain an axis of symmetry that is forbidden in periodic crystals, is inadequate. This definition is too restrictive in that it excludes an important and…

Materials Science · Physics 2020-11-10 Ron Lifshitz

The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For the…

Mathematical Physics · Physics 2007-05-23 Edita Pelantová , Zuzana Masáková

Glasses are known to exhibit quantitative universalities at low temperatures, the most striking of which is the ultrasonic attenuation coefficient 1/Q. In this work we develop a theory of coupled generic blocks with a certain randomness…

Disordered Systems and Neural Networks · Physics 2015-05-27 Dervis C. Vural , Anthony J. Leggett

Recently, Kristensen, Ge and Hughes have compared [Phys. Rev. A 92, 053810 (2015)] three different methods for normalization of quasinormal modes in open optical systems, and concluded that they all provide the same result. We show here…

Mesoscale and Nanoscale Physics · Physics 2017-07-14 E. A. Muljarov , W. Langbein

The stiff-glass approximation of the mode-coupling theory of the glass-transition--as introduced in a recent paper by G\"otze and Mayr for a discussion of phenomena resembling the Boson Peak and High-Frequency Sound observations made in…

Soft Condensed Matter · Physics 2009-11-07 Th. Voigtmann

The low-temperature thermal properties of dielectric crystals are governed by acoustic excitations with large wavelengths that are well described by plane waves. This is the Debye model, which rests on the assumption that the medium is an…

Statistical Mechanics · Physics 2015-05-13 Giulio Monaco , Stefano Mossa

Two nearly universal and anomalous properties of glasses, the peak in the specific heat and plateau of the thermal conductivity, occur around the same temperature. This coincidence suggests that the two phenomena are related. Both effects…

Disordered Systems and Neural Networks · Physics 2025-04-23 Elijah Flenner , Grzegorz Szamel

Evanescent modes in complete sonic crystals (SC) and SC with point defects are reported both theoretically and experimentally in this paper. Plane wave expansion (PWE) and, in general, $\omega(k)$ methods have been used to calculate band…

Fluid Dynamics · Physics 2010-05-11 V. Romero-García , J. V. Sánchez-Pérez , L. M. Garcia-Raffi

I give a brief overview of the model-independent analysis of unstable baryon resonances in the 1/N_c QCD expansion. This approach produces numerous surprising semi-quantitative phenomenological predictions that are supported by available…

High Energy Physics - Phenomenology · Physics 2009-11-11 Richard F. Lebed

Resonance expansions are an intuitive approach to capture the interaction of an optical resonator with light. Here, we present a quasinormal mode expansion approach for quadratic observables exploiting the rigorous Riesz projection method.…

We examine the behavior of sound attenuation and bulk viscosity near the 2'nd order QCD phase transition at finite density. A dynamical model is presented describing the coupled evolution of sound mode and a slow mode of fluctuations.

High Energy Physics - Phenomenology · Physics 2018-06-27 B. O. Kerbikov

We investigated the whispering gallery modes of cavities with a hexagonal cross-section. We found two different modes, namely perturbed and quasi-WGMs, of which the former exhibits the higher Q when the corner radius is large. We studied…

Optics · Physics 2013-04-15 Hiroshi Kudo , Ryo Suzuki , Takasumi Tanabe

Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohibit simple local growth algorithms. This can only be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Uwe Grimm , Dieter Joseph
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